Finding the Third Proportional to 150,463.50 and 233,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,463.50 : 233,731.50 = 233,731.50 : x
2. Step 2: Convert to fraction form
   150,463.50/233,731.50 = 233,731.50/x
3. Step 3: Cross multiply
   150,463.50x = 233,731.50 × 233,731.50
4. Step 4: Simplify right side
   150,463.50x = 54,630,414,092.25
5. Step 5: Solve for x
   x = 54,630,414,092.25/150,463.50
6. Step 6: Final answer
   x = 363,080.84